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A school psychologist believes that a popular new hypnosis technique increases depression. The psychologist collects a sample of 22 students and gives them the hypnosis once a week for two months. Afterwards the students fill out a depression inventory in which their average score was 46.62. Normal individuals in the population have a depression inventory average of 49 with a variance of 169.00. What can the psychologist conclude with an α of 0.01?

a) What is the appropriate test statistic?


b)
Population:

Sample:


c) Compute the appropriate test statistic(s) to make a decision about H0.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value =
; test statistic =

a sales girl gave a change of 1.15 to a customer instead of 1.25. calculate her percentage error
For the equation y = 5 + 4x^2 + 5x^3
(a) Find the equation for the linear approximation when x = 3.
(b) Find the equation for the quadratic approximation, also when x = 3.
For the equation y = 2 + 3 + 4x^2 + 5x^3
(a) Find the equation for the linear approximation when x = 3.
(b) Find the equation for the quadratic approximation, also when x = 3.
For the equation y = 2 + 3 + 4x2 + 5x3
(a) Find the equation for the linear approximation when x = 3.
(b) Find the equation for the quadratic approximation, also when x = 3.
Write abstract of Runge Kutta Method and Runge Kutta Fehlberg Method.
What is difference between local error and global error?
Q.Briefly describe Error analysis in Runge kutta Fehlberg method.
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